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Expand file tree Collapse file tree Original file line number Diff line number Diff line change 1+ """
2+ == Perfect Number ==
3+ In number theory, a perfect number is a positive integer that is equal to the sum of
4+ its positive divisors, excluding the number itself.
5+ For example: 6 ==> divisors[1, 2, 3, 6]
6+ Excluding 6, the sum(divisors) is 1 + 2 + 3 = 6
7+ So, 6 is a Perfect Number
8+
9+ Other examples of Perfect Numbers: 28, 486, ...
10+
11+ https://en.wikipedia.org/wiki/Perfect_number
12+ """
13+
14+
15+ def perfect (number : int ) -> bool :
16+ """
17+ >>> perfect(27)
18+ False
19+ >>> perfect(28)
20+ True
21+ >>> perfect(29)
22+ False
23+
24+ Start from 1 because dividing by 0 will raise ZeroDivisionError.
25+ A number at most can be divisible by the half of the number except the number
26+ itself. For example, 6 is at most can be divisible by 3 except by 6 itself.
27+ """
28+ return sum (i for i in range (1 , ((number // 2 ) + 1 )) if number % i == 0 ) == number
29+
30+
31+ if __name__ == "__main__" :
32+ print ("Program to check whether a number is a Perfect number or not......." )
33+ number = int (input ("Enter number: " ).strip ())
34+ print (f"{ number } { '' if perfect (number ) else 'not ' } )
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